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PDF RC4200 Data sheet ( Hoja de datos )

Número de pieza RC4200
Descripción Analog Multiplier
Fabricantes Fairchild Semiconductor 
Logotipo Fairchild Semiconductor Logotipo



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No Preview Available ! RC4200 Hoja de datos, Descripción, Manual

RC4200
Analog Multiplier
www.fairchildsemi.com
Features
• High accuracy
• Nonlinearity – 0.1%
Temperature coefficient – 0.005%/°C
• Multiple functions
• Multiply, divide, square, square root, RMS-to-DC
conversion, AGC and modulate/demodulate
• Wide bandwidth – 4 MHz
• Signal-to-noise ratio – 94 dB
Applications
• Low distortion audio modulation circuits
• Voltage-controlled active filters
• Precision oscillators
Description
The RC4200 analog multiplier has complete compensation
for nonlinearity, the primary source of error and distortion.
This multiplier also has three onboard operational amplifiers
designed specifically for use in multiplier logging circuits.
These amplifiers are frequency compensated for optimum
AC response in a logging circuit, the heart of a multiplier,
and can therefore provide superior AC response.
The RC4200 can be used in a wide variety of applications
without sacrificing accuracy. Four-quadrant multiplication,
two-quadrant division, square rooting, squaring and RMS
conversion can all be easily implemented with predictable
accuracy. The nonlinearity compensation is not just trimmed
at a single temperature, it is designed to provide compensa-
tion over the full temperature range. This nonlinearity
compensation combined with the low gain and offset drift
inherent in a well-designed monolithic chip provides a very
high accuracy and a low temperature coefficient.
Block Diagram
I2
Q2
VOS2
+
I3
RC4200
Q3
Q1
+
I1
VOS1
+
Q4
I4
65-4200-01
REV. 1.2.1 6/14/01

1 page




RC4200 pdf
PRODUCT SPECIFICATION
RC4200
Voltage Multiplier/Divider
R1 8
VX
I1
7
R4
5
I4
VZ
RC4200
VY R2 1
I2
4
2
3
I3
6
RO VO
VXVY = VOVZ
R1R2 ROR4
VS
65-4200-04
Figure 3. Voltage Multiplier/Divider
Solving for V0
=
V-----X----V----Y------------R----0---R----4-
VZ R1R2
For a multiplier circuit VZ = VR = cons tan t
Therefore: V0
=
VXVYK where K
=
-----R----0---R----4-----
VRR1R2
For a divider circuit VY = VR = cons tan t
Therefore: V0
=
V-V----XZ-- K
where K
=
V-----R----R----0---R----4-
R1R2
Extended Range
The input and output voltage ranges can be extended to
include 0 and negative voltage signals by adding bias
currents. The RSCS filter circuits are eliminated when the
input and biasing resistors are selected to limit the respective
currents to 50 µA min. and 250 µA max.
Extended Range Multiplier
VX
(Input)
VY
(Input)
RA
R1
R2
RB RC
85
I1 I4
7
RC4200
1
I2
2
3
4
I3
6
RC4
VS
+VREF
RD
VO
RO (Output)
+VS
RCX
VS
65-4200-05
Figure 4. Extended Range Multiplier
Resistors Ra and Rb extend the range of the VX and VY
inputs by picking values such that:
I1(min.) = V-----X----(R--m--1---i--n---.--) + V----R-R----aE---F- = 50 µA,
and I1(max.)
=
V-----X----(--m-----a--x---.--) + -V----R----E---F-
R1 Ra
=
250 µA,
also I2(min.)
=
V-----Y----(--m-----i-n---.--) + V-----R----E---F-
R2 Rb
=
50 µA,
and I2(max.)
=
V-----Y----(--m-----a--x---.--) + -V----R----E---F-
R2 Rb
=
250 µA.
Resistor RC supplies bias current for I3 which allows the
output to go negative.
Resistors RCX and RCY permit equation (6) to balance, ie.:
V-R----X-1--
+
V-----RR-----Ea----F- 
V-R----Y-2--
+
V-----RR----b-E----F- 
=
V-R----00-
+
-V----RR----C-E----F-
+
R---V--C--X--X---
+
R---V--C--Y--Y---
V----R-R----D-E----F- 
V--R---Y-1----VR----2X---
+
V-----X-R----V1----RR----b-E----F--
+
V-----Y-R----V2----RR----a-E----F--
+
V-----R-----E----F-
RaRb
=
V-----0R----V-0---RR----d-E----F-
+
-V---R-X----c-V--x--R-R----Ed----F--
+
V---R--Y--C---V--Y--R---R--E--d--F--
+
V-----R-----E----F--2
RcRd
Cross-Product Cancellation
Cross-products are a result of ths VXVR and VYVR terms.
To the extend that R1Rb = RCXRD, and R2Ra = RCYRd
cross-product cancellation will occur.
Arithmetic Offset Cancellation
The offset caused by the VREF2 term will cancel to the
extent that RaRb = R0Rd, and the result is:
V-----Y----V----X--
R1R2
=
-V----0---V----R----E---F-
R0Rd
or
V0
=
VXVYK
where K = V-----R---R-E---F0---RR----d1---R----2-
Resistor Values
Inputs:
VX(min.) ≤ VX VX(max.)
VX = VX(max.) – VX(min.)
VY(min.) ≤ VY VY(max.)
VY = VY(max.) = VY(min.)
VREF = Constant (+7V to +18V)
K = -----V-----0----- (Design Requirements)
VXVY
REV. 1.2.1 6/14/01
5

5 Page





RC4200 arduino
PRODUCT SPECIFICATION
Squaring Circuits V0 = K VX2
+V REF
VX
(Input)
Ra
R1
R1
Rb Rc
85
I1
7
RC4200
Multiplier
1
I4
I2
2
3
4
6 I3
-VS
Rd
RO
+VS
RCX RC5534
VO
(Output)
Figure 10. Squaring Circuit
V-R----X1--22
+
-2---V---R-X---1-V--R---R-a--E----F-
+
V----R-R---a-E--2-F-
2
=
V----R-0---V-0--R-R----dE---F-
+
-VR----Rc---R-E---Fd-
2
+
V-----XR----Vc---R-R---d-E---F-
if Ra2 = RcRd and R1Ra = 2RCXRD
then
-V----0---V----R----E---F-
R0Rd
=
-V----X--2
R12
or
V0
=
KVX2
where
K
=
----R-----0--R-----d----
VREFR12
VX(min.) VX VX(max.) VX = VX(max.) – VX(min.)
K
=
-V-----0-
VX2
(Design Requirement)
R1 = 2----0---0V---µ--X--A--
Ra = 2----5---0---µ----A--------V-----X-----V–----X2---0-V--0---R-µ--E--A-F-----V-----X----(--m-----a--x---.--)-
Rd = 2--V--5---0R---µE----FA--
Rc
=
R-----a-2
Rd
Rcx
=
R-----1--R-----a
2Rd
R0 = -1---6-V--0--X--µ--2--A-K--
REV. 1.2.1 6/14/01
-VS
65-1875
RC4200
11

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